Papers

  1. R. P. Gilbert and Vasyl M. Harik and Alexander Panachenko Vibration of two bounded composites: effects of the interface and distinct periodic structures
  2. R. P. Gilbert and A. Panchenko Effective acoustic equations for a two-phase medium with microstructure
  3. J. L. Buchanan, R. P. Gilbert and Khaldoun Khashanah Determination of the parameters of cancellous bone using low frequency acoustic measurements
  4. R. P. Gilbert and M. Fang Nonlinear systems arising from non isothermal, non-Newtonian Hele-Shaw flows in the presence of body forces and sources
  5. R. P. Gilbert and A. Mikelic Homogenization of the acoustic properties of the seabed; part I
  6. R. P. Gilbert and Yongzhi Xu Acoustic imaging in a shallow ocean with an icecap
  7. J.L. Buchanan, R. P. Gilbert, Armand Wirgin and Yongzhi Xu Identification by the intersecting canonica domain method of the size, shape and depth of a soft body of revolution located within an acoustic waveguide
  8. M. Fang and R. P. Gilbert An obstacle problem in non-isothermal and non-Newtonian Hele-Shaw flows
  9. R. P. Gilbert, A. Panachenko and X.-M, Xie Homogenization of a viscoelastic matrix in linear frictional contact
  10. M. Fang, R. P. Gilbert and Y. Xu Viscosity dominated flows with temperature-dependent viscosity
  11. Zhongyan Lin and R. P. Gilbert Numerical algorithim based on transmutation for solving inverse wave equation
  12. R. P. Gilbert and Yvonne Ou Acoustic wave propagation in a composite of two different poroelastic materials with a very rough periodic interface: a homogenization approach
  13. Doo-Sung Lee, R. P. Gilbert and N. Zeev Identification of objects in an acoustic wave guide inversion II: Robin-Dirichlet conditions
  14. J. L. Buchanan and R. P. Gilbert Determination of the parameters of cancellous bone using high frequency acoustic measurements
  15. N. Chinchaladze and R. P. Gilbert Vibration of an elastic plate under action of an incompressible fluid in the case of $N=0$ approximation of I. Vekua’s hierarchial models
  16. J. L. Buchanan and R. P. Gilbert Determination of the parameters of cancellous bone using high frequency acoustic measurements II: Inverse problems
  17. N. Chinchaladze, R. P. Gilbert, G. Jaiani, S. Kharibegashvili and D. Natroshvili Existence and uniqueness theorems for cusped prismatic shells in the $N$-th hierarchial model
  18. R. P. Gilbert and R. Ronkese An asymptotic model of a nonlinear adaptive elastic plate
  19. R. P. Gilbert, R. Ronkese and Xuming Xie Asymptotic Model of a Nonlinear Adaptive Visco-elastic Rod
  20. Ming Fang, R. P. Gilbert, Alex Panchenko and Ana Vasilic Homogenizing the time harmonic acoustics of bone: The monophasic case
  21. Yongzhi Xu and R. P. Gilbert Some inverse problems raised from a mathematical model of ductal carcinoma in situ
  22. Ming Fang, R. P. Gilbert, Philippe Guyenne and Ana Vasilic Numerical Homogenization of the time harmonic acoustics of bone: The monophasic case
  23. M. Fang and R. P. Gilbert Compression Molding II: Existance of the solution for a Hele-Shaw type model
  24. R. P. Gilbert, G. C. Hsiao Determination of bone density using low frequency acoustic measurements
  25. R. P. Gilbert, George C. Hsiao and Michael Shoushani The Biot model for anisotropic poro-elastic media
  26. R. P. Gilbert, Philippe Guyenne and Michael Shoushani Recovery of parameters of cancellous bone by acoustic interrogation
  27. Sandra Ilic, Klaus Hackl and R. P. Gilbert Application of the multiscale FEM to the modeling of cancellous bone
  28. Sandra Ilic, Klaus Hackl and R. P. Gilbert Investigation of the influence of reflection on the attenuation of cancellous bone
  29. Sandra Klinge Determination of the geometry of the RVE for cancellous bone by using the effective complex shear modulus
  30. Sandra Ilic, Klaus Hackl and R. P. Gilbert Application of a biphasic representative volume element to the simulation of wave propagation through cancellous bone
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